What is the minimum number of samples per second (Nyquist rate) required to exactly describe the following continuous-time signal? x(t) = 10 cos(6πt) + 4 sin(8πt)

A continuous-time signal given by x(t) = Vm sin(100πt) + 2Vm sin(200πt) is to be sampled. According to the Nyquist criterion, what is the minimum sampling frequency required to safely reconstruct the signal without aliasing?

An analog signal m(t) is given by m(t) = 4cos(100πt) + 8sin(200πt) + cos(300πt). The Nyquist sampling rate (in Hz) for this signal will be: